10344134450240 has 224 divisors, whose sum is σ = 26005865184000. Its totient is φ = 3908189675520.

The previous prime is 10344134450203. The next prime is 10344134450263. The reversal of 10344134450240 is 4205443144301.

It is a happy number.

It is a super-2 number, since 2×10344134450240² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10344134450240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3864075782 + ... + 3864078458.

Almost surely, 2^{10344134450240} is an apocalyptic number.

10344134450240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344134450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002932592000).

10344134450240 is an abundant number, since it is smaller than the sum of its proper divisors (15661730733760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10344134450240 is a wasteful number, since it uses less digits than its factorization.

10344134450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 10344134450240 its reverse (4205443144301), we get a palindrome (14549577594541).

The spelling of 10344134450240 in words is "ten trillion, three hundred forty-four billion, one hundred thirty-four million, four hundred fifty thousand, two hundred forty".